{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "

Melodia in Python: A Tutorial

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial shows how to use the [Melodia Melody Extraction vamp plugin](http://mtg.upf.edu/technologies/melodia) directly in python.\n", "\n", "* The tutorial assumes working knowledge of python (and that python is already installed on your system). \n", "* If you already have the [Melodia vamp plugin](http://mtg.upf.edu/technologies/melodia) installed, skip to step 2. \n", "* If you already have the [python vamp module](https://pypi.python.org/pypi/vamp) installed, skip to step 3.

\n", "\n", "For further details about the Melodia algorithm itself please see:\n", "\n", "J. Salamon and E. Gómez, \"[Melody Extraction from Polyphonic Music Signals using Pitch Contour Characteristics](http://www.justinsalamon.com/uploads/4/3/9/4/4394963/salamongomezmelodytaslp2012.pdf)\", IEEE Transactions on Audio, Speech and Language Processing, 20(6):1759-1770, Aug. 2012. ([copyright notice](http://www.justinsalamon.com/publications.html#IEEE_copyright))\n", "\n", "Created by [Justin Salamon](http://www.justinsalamon.com), January 2016." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Step 1: Install Melodia

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Go to the [Melodia website](http://mtg.upf.edu/technologies/melodia), follow the link to the download page, and download the plugin. Then follow the instructions provided in the README file to install the plugin on your system.\n", "\n", "**Tip:** and easy way to check if the plugin is installed correctly is to open [Sonic Visualiser](http://www.sonicvisualiser.org/) and then check if the plugin appears in the menu under Transform > Analysis by Category > Pitch > MELODIA - Melody Extraction..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Step 2: Install the vamp python module

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```>pip install vamp```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Tip:** if you're not already using pip to manage your python packages: https://pip.pypa.io/en/stable/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Step 3: Using Melodia in python

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

3.1 Necessary modules

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need to load the ```vamp``` module of course. Since the module doesn't handle audio loading, we also need something to do that. There are many ways to load audio into python, I normally use either [Essentia](http://essentia.upf.edu/) or [Librosa](https://bmcfee.github.io/librosa/). If you don't have neither installed, Librosa is probably easier to set up (```pip install librosa```). Finally, we'll use ```matplotlib``` for visualizing the extracted melody pitch contour." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import vamp\n", "import librosa\n", "import essentia.standard as es\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "from __future__ import print_function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

3.2 Loading audio

" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# This is the audio file we'll be analyzing. \n", "# You can download it here: http://labrosa.ee.columbia.edu/projects/melody/mirex05TrainFiles.zip\n", "audio_file = '/Users/justin/datasets/melody/mirex05/audio/train05.wav'" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# This is how we load audio using Essentia\n", "loader = es.MonoLoader(filename=audio_file, downmix = 'mix', sampleRate = 44100)\n", "audio = loader()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# This is how we load audio using Librosa\n", "audio, sr = librosa.load(audio_file, sr=44100, mono=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

3.3 Exracting the melody using Melodia with default parameter values

" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "data = vamp.collect(audio, sr, \"mtg-melodia:melodia\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'vector': ( 0.002902494,\n", " array([-220., -220., -220., ..., -220., -220., -220.], dtype=float32))}" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# data is a dictionary containing one item called \"vector\"\n", "data" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 0.002902494\n", "[-220. -220. -220. ..., -220. -220. -220.]\n" ] } ], "source": [ "# vector is a tuple of two values: the hop size used for analysis and the array of pitch values\n", "# Note that the hop size is *always* equal to 128/44100.0 = 2.9 ms\n", "hop, melody = data['vector']\n", "print(hop)\n", "print(melody)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

\\*\\*\\* SUPER IMPORTANT SUPER IMPORTANT \\*\\*\\*

\n", "For reasons internal to the vamp architecture, THE TIMESTAMP OF THE FIRST VALUE IN THE MELODY ARRAY IS ALWAYS:\n", "\n", "```\n", "first_timestamp = 8 * hop = 8 * 128/44100.0 = 0.023219954648526078\n", "```\n", "\n", "This means that the timestamp of the pitch value at index i (starting with i=0) is given by:\n", "\n", "```\n", "timestamp[i] = 8 * 128/44100.0 + i * (128/44100.0)\n", "```\n", "\n", "So, if you want to generate a timestamp array to match the pitch values, you do it like this:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "timestamps = 8 * 128/44100.0 + np.arange(len(melody)) * (128/44100.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As noted above, the hop size used in Melodia is always 2.9 ms, regardless of the sampling rate of the audio being analysed (though a rate of 44100 is recommended for optimal performance). This in turn means the first timestamp is always 23.2 ms, again, regardless of the sampling rate." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

3.4 Extracting the melody using Melodia with custom parameter values

" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# parameter values are specified by providing a dicionary to the optional \"parameters\" parameter:\n", "params = {\"minfqr\": 100.0, \"maxfqr\": 800.0, \"voicing\": 0.2, \"minpeaksalience\": 0.0}\n", "\n", "data = vamp.collect(audio, sr, \"mtg-melodia:melodia\", parameters=params)\n", "hop, melody = data['vector']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Melodia has 4 parameters:\n", "* **minfqr**: minimum frequency in Hertz (default 55.0)\n", "* **maxfqr**: maximum frequency in Hertz (default 1760.0)\n", "* **voicing**: voicing tolerance. Greater values will result in more pitch contours included in the final melody. Smaller values will result in less pitch contours included in the final melody (default 0.2).\n", "* **minpeaksalience**: (in Sonic Visualiser \"Monophonic Noise Filter\") is a hack to avoid silence turning into junk contours when analyzing monophonic recordings (e.g. solo voice with no accompaniment). Generally you want to leave this untouched (default 0.0)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

3.4 Plot the extracted melody

" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Wr5cDBSGWzS7kpe3nefe4mkOpJE/n17ERtkoTsRE7EmWFGcPq8m80GCjKSaO+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\n6DfcFXzRBL+DYXA6oJRBHXJ597JXrb11GSUBKXmwAgMIcjFKFX8lSR5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Melodia returns unvoiced (=no melody) sections as negative values. So by default, we get:\n", "plt.figure(figsize=(18,6))\n", "plt.plot(timestamps, melody)\n", "plt.xlabel('Time (s)')\n", "plt.ylabel('Frequency (Hz)')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Q8iIiUosUmBAREZGG4QMWzYtN+PgJi1rw+xtvStFG5Z1gh4IBzlg1P788GPDh8/k47cR5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# A clearer option is to get rid of the negative values before plotting\n", "melody_pos = melody[:]\n", "melody_pos[melody<=0] = None\n", "plt.figure(figsize=(18,6))\n", "plt.plot(timestamps, melody_pos)\n", "plt.xlabel('Time (s)')\n", "plt.ylabel('Frequency (Hz)')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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I58tARmdWXHLWAkB9K0TEn0pT7CciIiLiI5oGUpsSySw20FB35mNLXQvyUzFsG/7/f93G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IjKiV4GwmAFERFR3jChkUoGTxKJiKgQ9AabLD0kIiLKGwYrqGQE45prEhER5UOYmRVERER5x2AF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\nJEmSpFr5B9/ZrGvXHKjPAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Finally, you might want to plot the pitch sequence in cents rather than in Hz. \n", "# This especially makes sense if you are comparing two or more pitch sequences \n", "# to each other (e.g. comparing an estimate against a reference).\n", "melody_cents = 1200*np.log2(melody/55.0)\n", "melody_cents[melody<=0] = None\n", "plt.figure(figsize=(18,6))\n", "plt.plot(timestamps, melody_cents)\n", "plt.xlabel('Time (s)')\n", "plt.ylabel('Frequency (cents relative to 55 Hz)')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

That's all folks

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For further information feel free to contact me: justin.salamon@nyu.edu (or justin.salamon@gmail.com)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.8" } }, "nbformat": 4, "nbformat_minor": 0 }